Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	4
1	58	4
2	178	4
3	351	4
4	401	4
5	401	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ (+ e d) c) b) a)
0.2b	(+ (+ (+ e d) c) b)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`add-log-exp`
29×	`distribute-lft-out`
20×	`associate-+l+`
19×	`sum-log`
15×	`fma-def`
9×	`+-commutative`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

3 → 81

Calls

3 calls:

6.0ms	(+ (+ e d) c)
17.0ms	(+ (+ (+ (+ e d) c) b) a)
10.0ms	(+ (+ (+ e d) c) b)

series100.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (+ e d) c)
55.0ms	(+ (+ (+ (+ e d) c) b) a)
30.0ms	(+ (+ (+ e d) c) b)

simplify35.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	274	316
1	1133	304
2	5001	304

prune175.0ms

Filtered

90 candidates to 62 candidates (68.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ e d) (+ a (+ b c)))
0.2b	(+ a (+ b c))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
28×	`add-log-exp`
19×	`distribute-lft-out`
18×	`sum-log`
8×	`associate-+r+`
7×	`fma-def`
6×	`+-commutative` `flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `frac-add`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`

Counts

2 → 59

Calls

2 calls:

12.0ms	(+ (+ e d) (+ a (+ b c)))
6.0ms	(+ a (+ b c))

series66.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (+ e d) (+ a (+ b c)))
16.0ms	(+ a (+ b c))

simplify46.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	343	331
1	1409	313
2	5001	313

prune155.0ms

Filtered

65 candidates to 44 candidates (67.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0b

Counts

70 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ d (+ a (+ b c)))
0.2b	(+ e (+ d (+ a (+ b c))))
0.2b	(+ a (+ b c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
31×	`add-log-exp`
20×	`associate-+r+`
19×	`sum-log` `distribute-lft-out`
9×	`+-commutative` `fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

3 → 75

Calls

3 calls:

9.0ms	(+ d (+ a (+ b c)))
13.0ms	(+ e (+ d (+ a (+ b c))))
6.0ms	(+ a (+ b c))

series106.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ d (+ a (+ b c)))
59.0ms	(+ e (+ d (+ a (+ b c))))
17.0ms	(+ a (+ b c))

simplify35.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	286	310
1	1038	298
2	5002	298

prune177.0ms

Filtered

84 candidates to 59 candidates (70.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ e (+ d a))
0.2b	(+ (+ e (+ d a)) (+ b c))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`add-log-exp`
21×	`distribute-lft-out`
18×	`sum-log`
8×	`fma-def`
6×	`+-commutative` `associate-+r+` `flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `frac-add`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`

Counts

2 → 60

Calls

2 calls:

7.0ms	(+ e (+ d a))
14.0ms	(+ (+ e (+ d a)) (+ b c))

series73.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ e (+ d a))
58.0ms	(+ (+ e (+ d a)) (+ b c))

simplify44.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	343	330
1	1489	312
2	5001	312

prune127.0ms

Filtered

66 candidates to 43 candidates (65.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	66	4	70

Merged error: 0b

Counts

70 → 4

regimes150.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample624.0ms

Algorithm

intervals

Results

218.0ms	8000×	pre	80	true
180.0ms	8000×	body	80	valid